Abstract: As the correlation of adjacent atoms in a redundant dictionary has affected the performance of ordinary orthogonal matching pursuit (OMP) algorithm,a design criteria based on the minimization variance of Gramm-type matrix non-diagonal elements is proposed for sensing dictionary, a OMP algorithm is modified by using sensing dictionary and the reconstruction performance of the modified OMP algorithm is improved. For the noise existed case, sensing dictionary is combined with OMP algorithm of multiple measurement vector, the bad influence caused by the strong correlation of adjacent atoms is overcome, the proposed method can improve anti-noise ability so that it can make accurate DOA estimation in very low signal-to-noise ratio case.